313404 has 72 divisors (see below), whose sum is σ = 938448. Its totient is φ = 80640.

The previous prime is 313399. The next prime is 313409. The reversal of 313404 is 404313.

It is an interprime number because it is at equal distance from previous prime (313399) and next prime (313409).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313404.

It is not an unprimeable number, because it can be changed into a prime (313409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7624 + ... + 7664.

It is an arithmetic number, because the mean of its divisors is an integer number (13034).

2³¹³⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469224).

313404 is an abundant number, since it is smaller than the sum of its proper divisors (625044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313404 is a wasteful number, since it uses less digits than its factorization.

313404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 313404 is about 559.8249726477. The cubic root of 313404 is about 67.9258129794.

Adding to 313404 its reverse (404313), we get a palindrome (717717).

Subtracting 313404 from its reverse (404313), we obtain a palindrome (90909).

It can be divided in two parts, 313 and 404, that added together give a palindrome (717).

The spelling of 313404 in words is "three hundred thirteen thousand, four hundred four".